Spurs allowed the Cottagers back into the game with Ivan Cavaleiro’s late strike punishing them to secure a point for Scott Parker’s side, who are just two points off safety now.
Chris Wilder’s side are a further seven points behind with Billy Sharp’s late goal breaking their duck in the win column after 18 games this campaign.
Blades won the last outing between the sides and the reverse fixture last season with a comfortable 3-1 victory with goals from Sander Berge, Lys Mousset and Oliver McBurnie.
Gareth Bale is yet to feature prominently for Spurs since joining on loan from Real Madrid, but his boss insists there are no talks yet about extending his second spell in north London.
"There was not even a second of discussion about that," Mourinho said. “Gareth is a player on loan until the end of the season. Not one second of discussion. We are speaking about, of course, Gareth, himself, Real Madrid, Tottenham, but I promise you, not one second of discussion.”
Here is everything you need to know about the game which will have implications at both ends of the table:
When is it and what time is kick-off?
The match will begin at 2pm on Sunday 17 January at Bramall Lane.
How can I watch it online and on TV?
The match will be broadcast live on Sky Sports Premier League and Sky Sports Main Event with coverage beginning at 1pm.
If you’re not a Sky customer you can grab a NOWTV Day Pass here to watch without a subscription.
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What is the team news?
Wilder claims he has seven players missing here but wouldn’t specify exactly who.
Blades could remain unchanged from their first win of the season against Newcastle. That will mean match-winner Billy Sharp remains as an impact substitute.
Enda Stevens, Oli McBurnie and George Baldock will be require checks. Jack O'Connell, Sander Berge and Jack Robinson are set to remain out with long-term injuries.
Toby Alderweireld and Lucas Moura could push for starts, while Mourinho is likely to resist handing Dele Alli or Gareth Bale a rare start.
Giovani Lo Celso is set to remain out.
What are the predicted line-ups?
Sheffield United XI: Ramsdale; Basham, Egan, Ampadu; Bogle, Lundstram, Norwood, Fleck, Osborn; McGoldrick, Brewster
Spurs XI: Lloris; Aurier, Alderweireld, Dier, Davies; Hojbjerg, Winks; Lucas, Ndombele, Son; Kane
What are the odds?
Sheffield United - 19/4
Draw - 14/5
Tottenham - 8/13
Spurs have to bounce back but Blades will be flying from the start here. Mourinho will know how pivotal it is to win here though and while a point might not be enough to satisfy Mourinho, that might be what he has to take given the short turnaround and form of both teams. We’ll go for a hard-fought, entertaining 1-1 draw.